9966401100 has 54 divisors (see below), whose sum is σ = 31239133380. Its totient is φ = 2657706720.

The previous prime is 9966401083. The next prime is 9966401119. The reversal of 9966401100 is 11046699.

9966401100 is a `hidden beast` number, since 9 + 9 + 6 + 640 + 1 + 1 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5535990 + ... + 5537789.

It is an arithmetic number, because the mean of its divisors is an integer number (578502470).

Almost surely, 2^9966401100 is an apocalyptic number.

9966401100 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9966401100 is an abundant number, since it is smaller than the sum of its proper divisors (21272732280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9966401100 is a wasteful number, since it uses less digits than its factorization.

9966401100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11073799 (or 11073789 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 9966401100 is about 99831.8641516826. The cubic root of 9966401100 is about 2152.0190947735.

Adding to 9966401100 its reverse (11046699), we get a palindrome (9977447799).

The spelling of 9966401100 in words is "nine billion, nine hundred sixty-six million, four hundred one thousand, one hundred".